X² + 6x + 3 = 0
y = x² + 6x + 3
y - 3 = x² + 6x
6x ⇒ 6x / 2x = 3 ⇒ 3² = 9
y - 3 + 9 = x² + 6x + 9
y + 6 = (x+3)²
y = (x+3)² - 6
vertex of the parabola is (x+3)²
y = (x+3)(x+3) - 6
y = x(x+3)+3(x+3) - 6
y = x² + 3x + 3x + 9 - 6
y = x² + 6x + 3
Answer:
Total surface area is 3171m²
Step-by-step explanation:
First given the volume v= 8820m³
And the base a= 35m
We can solve for the height h using the formula
V=a²(h/3)
8820= 35²*h/3
h= (8820*3)35²
h= 26460/1225
h= 21.6m
We can now solve for the total surface area using
A= a²+2a√a²/4+h²
Substituting our data we have
A= 35²+2*35√35²/4+21.6²
A= 1225+70√1225/4+466.56
A=1225+70√772.81
A=1225+70*27.79
A= 1225+1945.9
A= 3170.9
Approximately
A= 3171m²
The number of cars that have passed through the intersection is 245.
<h3>How many cars passed through the intersection?</h3>
Direct variation is when two variables move in the same direction. If one variable increases, the other variable increases.
The equation that represents direct variation is; c = wk
Where:
- c = number of cars
- w = number of wrecks
- k = constant of proportionality
1085 = k31
k = 1085 / 31
k = 35
c = 7 x 35
c = 245
To learn more about direct variation, please check: brainly.com/question/27573249
#SPJ1
Answer:
D. 8*x
Step-by-step explanation:
Hello there! A regular octagon has eight sides with the same extension. The perimeter is the addition of each of them. If each side is x units length, then x + x + x + x + x + x + x + x = 8*x is its perimeter.
Answer:
x = –4
Step-by-step explanation:
x = –koef x / (2•koef x²)